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14 January, 14:20

Four samples, each having a void ratio of 0.76 and a specific gravity of 2.74, have degrees of saturation (S) of 85, 90, 95, and 100%. Determine the total (wet/moist) unit weight (γt) in pcf for each of the four samples.

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  1. 14 January, 14:23
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    a) γt = 120.107 lbf/ft³

    b) γt = 121.455 lbf/ft³

    c) γt = 122.803 lbf/ft³

    d) γt = 124.150 lbf/ft³

    Explanation:

    Given:

    e = 0.76

    Gs = 2.74

    γw = 62.43 lbf/ft³

    a) S = 85%

    b) S = 90%

    c) S = 95%

    d) S = 100%

    We can apply the formula

    γt = γw * (Gs+S*e) / (1+e)

    a) γt = (62.43 lbf/ft³) * (2.74+0.85*0.76) / (1+0.76)

    γt = 120.107 lbf/ft³

    b) γt = (62.43 lbf/ft³) * (2.74+0.90*0.76) / (1+0.76)

    γt = 121.455 lbf/ft³

    c) γt = (62.43 lbf/ft³) * (2.74+0.95*0.76) / (1+0.76)

    γt = 122.803 lbf/ft³

    d) γt = (62.43 lbf/ft³) * (2.74+1*0.76) / (1+0.76)

    γt = 124.150 lbf/ft³
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